Answer
a) 12.8 rads/s
b) .336 1/cm
c) 2.34cos(.336x+12.8t)
Work Step by Step
a) We find:
$\omega = \frac{2\pi}{T}=\frac{2\pi}{\frac{18.7}{38}}=12.8 \ rads/s $
b) We use the equation for wave number to find:
$k=\frac{2\pi}{\lambda}=\frac{2\pi}{18}=.336$
c) Combining these values and the amplitude of the wave, which is 2.34, we find:
$x(t)=2.34cos(.336x+12.8t) $
